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vagabundo [1.1K]
2 years ago
14

The variables x and y have a proportional relationship, and y= 5/6 which equation represents this relationship? x= 3/4. Which eq

uation represents this relationship?
Mathematics
1 answer:
Novosadov [1.4K]2 years ago
3 0

Answer:

(d)  y= (1 1/9)x

Step-by-step explanation:

A proportional relation is described by the equation ...

 y = kx

Dividing by x shows how to find the value of k:

 k = y/x

For the given values of y and x, the value of k is found to be ...

 k = (5/6)/(3/4) = (5/6)(4/3) = 20/18 = 10/9 = 1 1/9

The relationship is represented by the equation ...

 y = (1 1/9)

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Step-by-step explanation:

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2 years ago
Read 2 more answers
What is tan(θ/2), when tan(θ) = 4/3 and when π &lt; θ &lt; 3π/2?
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Tan (Ф/2)=⁺₋√[(1-cosФ)/(1+cosФ)]
if π<Ф<3π/2;
 then,  Where is Ф/2??
π/2<Ф/2<3π/4; therefore Ф/2 is in the second quadrant; then tan (Ф/2) will have a negative value.

tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]

Now, we have to find the value of cos Ф.
tan (Ф)=4/3
1+tan²Ф=sec²Ф
1+(4/3)²=sec²Ф
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sec²Ф=(9+16)/9
sec²Ф=25/9
sec Ф=-√(25/9)        (sec²Ф will have a negative value, because Ф is in the        sec Ф=-5/3                                 third quadrant).

cos Ф=1/sec Ф
cos Ф=1/(-5/3)
cos Ф=-3/5

Therefore:

tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
tan(Ф/2)=-√[(1+3/5)/(1-3/5)]
tan(Ф/2)=-√[(8/5)/(2/5)]
tan(Ф/2)=-√4
tan(Ф/2)=-2

Answer: tan (Ф/2)=-2; when tan (Ф)=4/3


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